It helps if you tell us where you think you might be seeing a doubled die. Looking at the coin, nothing us jumping out at me.
All I see is a grainy picture however, 1943 had many DDO. Some of which are not that easy to detect. I picked this one up off of Teletrade for less than $50: Not the best scan but the close up photo's reveal: DDO FS-102
I don't see any doubling either...but the image is so blurry it would be easy to miss if it was there.
All 1943s had minor doubling on the LIBERTY and the date (most apparent inside the B). I think its called hub doubling. Check Dr. Wiles' Washington Quarter attribution books.
I don't see anything, but take a look at the photos that 19LYDS posted above; that's the kind of photos we would need to made a determination.